Finding the Fourth Proportional to 2,362.06, 3,259.80 and 1,564

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.06 : 3,259.80 = 1,564 : x
2. Step 2: Convert to fraction form
   2,362.06/3,259.80 = 1,564/x
3. Step 3: Cross multiply
   2,362.06x = 3,259.80 × 1,564
4. Step 4: Simplify right side
   2,362.06x = 5,098,327.20
5. Step 5: Solve for x
   x = 5,098,327.20/2,362.06
6. Step 6: Final answer
   x = 2,158.42